Properties of the Number 68113

Sixty-Eight Thousand One Hundred Thirteen

Basics

Value: 68112 → 68113 → 68114

Parity: odd

Prime: Yes

Previous Prime: 68111

Next Prime: 68141

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 68113

Divisors: 1, 68113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101000010001

Octal: 205021

Duodecimal: 33501

Hexadecimal: 10a11

Square: 4639380769

Square Root: 260.98467387952115

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes that are values of A215240. A320041

a(n) is the smallest error in trying to solve n⁵ = x⁵ + y⁵: for each n from 2 on, find positive integers·and y, x <= y < n such that |n⁵ - x⁵ - y⁵| is minimal and let a(n) = n⁵ - x⁵ - y⁵. In case of a tie, choose the solution with smallest y. A369855

Smallest prime such that n·k(n)²+n·k(n)+1 is a prime > (n-1)*k(n-1)²+(n-1)*k(n-1)+1 with k(n)>1 or 0 if n=4 as no prime possible. A104995

Primes of the form 9n² - 8. A201961

Number of nX7 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. A297888

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A000201 (lower Wythoff sequence). A24593

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1111-0010-0010 pattern in any orientation. A147171

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 814", based on the 5-celled von Neumann neighborhood. A273643

Numerator of coefficient of (-x²)ⁿ in F(x)*F(-x) where F(x) = ∑_k>=0 x^k/(k!)³. A68113